Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20184p |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97440 |
Modular degree for the optimal curve |
Δ |
-44565952437869568 = -1 · 210 · 3 · 299 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40648,-10648960] |
[a1,a2,a3,a4,a6] |
j |
-500/3 |
j-invariant |
L |
3.7597069912977 |
L(r)(E,1)/r! |
Ω |
0.15038827965191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40368f1 60552j1 20184c1 |
Quadratic twists by: -4 -3 29 |